Question

Find the nature of the roots of the following quadratic equations. If the real roots exist find them:
$2x^2-3x+5=0$

Answer 1

Consider the given equation.

$2x^2-3x+5=0$

$D=(-3{)}^2-4\times 2\times 5$

$D=9-40=-39<0$

So, the roots are imaginary.

Hence, this is the answer.